Search a number
-
+
2122113230 = 2517192151229
BaseRepresentation
bin111111001111100…
…1110000011001110
312110220010112002022
41332133032003032
513321230110410
6550324130142
7103405444016
oct17637160316
95426115068
102122113230
11999972096
124b2836952
1327a861103
14161ba4c46
15c6484455
hex7e7ce0ce

2122113230 has 96 divisors (see below), whose sum is σ = 4315602240. Its totient is φ = 748569600.

The previous prime is 2122113197. The next prime is 2122113283. The reversal of 2122113230 is 323112212.

2122113230 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 2122113199 and 2122113208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9266756 + ... + 9266984.

It is an arithmetic number, because the mean of its divisors is an integer number (44954190).

Almost surely, 22122113230 is an apocalyptic number.

2122113230 is an abundant number, since it is smaller than the sum of its proper divisors (2193489010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2122113230 is a wasteful number, since it uses less digits than its factorization.

2122113230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2122113230 is about 46066.4002283660. The cubic root of 2122113230 is about 1285.0583590709.

Adding to 2122113230 its reverse (323112212), we get a palindrome (2445225442).

The spelling of 2122113230 in words is "two billion, one hundred twenty-two million, one hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 5 10 17 19 34 38 85 95 151 170 190 229 302 323 361 458 646 722 755 1145 1510 1615 1805 2290 2567 2869 3230 3610 3893 4351 5134 5738 6137 7786 8702 12274 12835 14345 19465 21755 25670 28690 30685 34579 38930 43510 48773 54511 61370 69158 73967 82669 97546 109022 147934 165338 172895 243865 272555 345790 369835 413345 487730 545110 587843 657001 739670 826690 926687 1175686 1314002 1405373 1853374 2810746 2939215 3285005 4633435 5878430 6570010 7026865 9266870 11169017 12483019 14053730 22338034 24966038 55845085 62415095 111690170 124830190 212211323 424422646 1061056615 2122113230